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词条 Bruce C. Berndt
释义

  1. Selected publications

  2. See also

  3. References

  4. External links

Bruce Carl Berndt (born March 13, 1939, in St. Joseph, Michigan)

is an American mathematician. Berndt attended college at Albion College, graduating in 1961, where he also ran track. He received his master's and doctoral degrees from the University of Wisconsin–Madison. He lectured for a year at the University of Glasgow and then, in 1967, was appointed an assistant professor at the University of Illinois at Urbana-Champaign, where he has remained since. In 1973–74 he was a visiting scholar at the Institute for Advanced Study in Princeton.[1] He is currently ({{As of|2006|lc=on}}) Michio Suzuki Distinguished Research Professor of Mathematics at the University of Illinois.

Berndt is an analytic number theorist who is probably best known for his work explicating the discoveries of Srinivasa Ramanujan.[2] He is a coordinating editor of The Ramanujan Journal and, in 1996, received an expository Steele Prize from the American Mathematical Society for his work editing Ramanujan's Notebooks.[3][4] A Lester R. Ford Award was given to Berndt, with Gerd Almkvist, in 1989[5] and to Berndt, with S. Bhargava, in 1994.[6]

In 2012 he became a fellow of the American Mathematical Society.[7]

In December 2012 he received an honorary doctorate[8] from SASTRA University in Kumbakonam, India.

Selected publications

  • Ramanujan: Letters and Commentary (History of Mathematics, V. 9), by Bruce C. Berndt and Robert A. Rankin (American Mathematical Society, 1995, {{ISBN|0-8218-0287-9}})[9]
  • Ramanujan: Essays and Surveys (History of Mathematics, V. 22), by Bruce C. Berndt and Robert A. Rankin (American Mathematical Society, 2001, {{ISBN|0-8218-2624-7}})[10]
  • [https://books.google.com/books?id=_XnUCQAAQBAJ The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks (Memoirs of the American Mathematical Society)], by Bruce C. Berndt, L. Jacobsen, R. L. Lamphere, George E. Andrews (Editor), Srinivasa Ramanujan Aiyangar (Editor) (American Mathematical Society, 1993, {{ISBN|0-8218-2538-0}})
  • Ramanujan's Notebooks, Part I, by Bruce C. Berndt (Springer, 1985, {{ISBN|0-387-96110-0}})[11]
  • Ramanujan's Notebooks, Part II, by Bruce C. Berndt (Springer, 1999, {{ISBN|0-387-96794-X}})[11]
  • Ramanujan's Notebooks, Part III, by Bruce C. Berndt (Springer, 2004, {{ISBN|0-387-97503-9}})[11][12]
  • Ramanujan's Notebooks, Part IV, by Bruce C. Berndt (Springer, 1993, {{ISBN|0-387-94109-6}})[11]
  • Ramanujan's Notebooks, Part V, by Bruce C. Berndt (Springer, 2005, {{ISBN|0-387-94941-0}})[11]
  • Ramanujan's Lost Notebook, Part I, by George Andrews and Bruce C. Berndt (Springer, 2005, {{ISBN|0-387-25529-X}})[13]
  • Ramanujan's Lost Notebook, Part II, George E. Andrews, Bruce C. Berndt (Springer, 2008, {{ISBN|978-0-387-77765-8}})
  • Ramanujan's Lost Notebook: Part III, George E. Andrews, Bruce C. Berndt (Springer, 2012, {{ISBN|978-1-4614-3809-0}})
  • Ramanujan's Lost Notebook: Part IV, George E. Andrews, Bruce C. Berndt (Springer, 2013, {{ISBN|978-1-4614-4080-2}})
  • Number Theory in the Spirit of Ramanujan by Bruce C. Berndt (American Mathematical Society, 2006, {{ISBN|0-8218-4178-5}})
  • Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin (Developments in Mathematics), by Bruce Berndt (Editor), Ken Ono (Editor) (Springer, 2003, {{ISBN|1-4020-7615-0}})

See also

  • Ramanujan's lost notebook

References

1. ^[https://www.ias.edu/people/cos/users/4033 Berndt, Bruce Carl | Institute for Advanced Study]
2. ^{{cite journal|author=Berndt, Bruce C.|title=An overview of Ramanujan’s notebooks|journal=Proc. Conf. Karl der Grosse|postscript=; online at math.uiuc. edu/~berndt|year=2001|url=http://www.math.uiuc.edu/~berndt/articles/aachen.pdf}}
3. ^{{cite web|url=http://math.nist.gov/opsf/personal/berndt.html|title=Steele Prize for Bruce Berndt|date=15 January 1997|website=OP–SF Net 4.1}}
4. ^{{cite journal|url=http://www.ams.org/notices/199611/comm-steele.pdf|title=1996 Steele Prizes|journal=Notices of the AMS|pages=340–347|volume=43|issue=11|date=November 1996}}
5. ^{{cite journal|author1=Almkvist, Gert|author2=Berndt, Bruce C.|title=Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π and the Ladies Diary|journal=Amer. Math. Monthly|volume=95|issue=7|year=1988|pages=585–608|url=http://www.maa.org/programs/maa-awards/writing-awards/gauss-landen-ramanujan-the-arithmetic-geometric-mean-ellipses-pi-and-the-ladies-diary|doi=10.2307/2323302|jstor=2323302}}
6. ^{{cite journal|author=Berndt, Bruce C.|author2=Bhargava, S.|title=Ramanujan—for lowbrows|journal=Amer. Math. Monthly|volume=100|issue=7|year=1993|pages=644–656|url=http://www.maa.org/programs/maa-awards/writing-awards/ramanujan-for-lowbrows|doi=10.2307/2323885|jstor=2323885}}
7. ^List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
8. ^Honorary doctorates for Andrews, Askey and Berndt
9. ^{{cite journal|author=Alladi, Krishnaswami|authorlink=Krishnaswami Alladi|title=Review of Ramanujan: Letters and Commentary by Bruce C. Berndt and Robert A. Rankin|journal=Amer. Math. Monthly|date=October 1996|volume=103|pages=708–713|doi=10.1007/978-81-322-0767-2_21|isbn=978-81-322-0766-5}}
10. ^{{cite journal|author=Alladi, Krishnaswami|title=Review of Ramanujan: Essays and Surveys by Bruce C. Berndt and Robert A. Rankine|journal=Amer. Math. Monthly|date=November 2003|volume=110|issue=9|pages=861–865|doi=10.2307/3647820|jstor=3647820}}
11. ^{{cite journal|author=Kupershmidt, Boris A.|url=https://arxiv.org/pdf/math/0004188v1.pdf|title=And Free Lunch for All. A Review of Bruce C Berndt's Ramanujan's Notebooks, Parts I–V|journal=Journal of Nonlinear Mathematical Physics|year=2000|volume=7|issue=2|pages=R7–R37|arxiv=math/0004188|bibcode=2000math......4188K}}
12. ^{{cite journal|author=Zucker, I. J.|title=Reviewed Work: Ramanujan's Notebooks Part 3 by Bruce C. Berndt|journal=The Mathematical Gazette|date=March 1993|volume=77|issue=478|pages=102–104|doi=10.2307/3619273|jstor=3619273}}
13. ^{{cite journal|author=Bressoud, David M.|authorlink=David Bressoud|title=Review: Ramanujan's lost notebook, Part I, by George E. Andrews and Bruce C. Berndt|journal=Bull. Amer. Math. Soc. (N.S.)|date=October 2006|volume=43|issue=4|pages=585–591|url=http://www.ams.org/journals/bull/2006-43-04/S0273-0979-06-01110-4/S0273-0979-06-01110-4.pdf|doi=10.1090/s0273-0979-06-01110-4}}

External links

  • Bruce C. Berndt, home page at UIUC.
  • University of Illinois LASNews article on Berndt's work with Ramanujan's Lost Notebooks
{{Authority control}}{{DEFAULTSORT:Berndt, Bruce C.}}

11 : 20th-century American mathematicians|21st-century American mathematicians|Living people|1939 births|Number theorists|University of Illinois at Urbana–Champaign faculty|University of Wisconsin–Madison alumni|Institute for Advanced Study visiting scholars|Albion College alumni|Fellows of the American Mathematical Society|Guggenheim Fellows

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